Question

An equation is shown. x2+4x+3=0
. Complete the statements.(4 points)
The value of a is
.

The value of b is
.

The value of c is
.

One solution to the equation is

Answer 1

To complete the statements for the given quadratic equation \( x^2 + 4x + 3 = 0 \):

1. The value of \( a \) is **1** (the coefficient of \( x^2 \)).
2. The value of \( b \) is **4** (the coefficient of \( x \)).
3. The value of \( c \) is **3** (the constant term).

To find one solution to the equation, we can factor it, or use the quadratic formula.

The equation can be factored as:

\[ (x + 1)(x + 3) = 0 \]

Setting each factor to zero gives us the solutions:

1. \( x + 1 = 0 \) → \( x = -1 \)
2. \( x + 3 = 0 \) → \( x = -3 \)

Thus, one solution to the equation is **-1** (or you could also state -3).